Math Problem Statement

What is the present value of an annuity due given the provided data?

Solution

The table provided describes the present value of an annuity due calculation. Let's summarize the information provided:

  • Annuity Payment: $1,100
  • Payment Frequency: Every year
  • Time Period (years): 5
  • Nominal Rate (%): 5.8%
  • Interest Compounded: Annually
  • Present Value of the Annuity: $4,929.14

Would you like me to explain how to calculate the present value of an annuity due, verify the calculations, or explore related scenarios?

Here are some related questions for deeper understanding:

  1. How does the formula for the present value of an annuity due differ from an ordinary annuity?
  2. How would the present value change if the payments were made at the end of the year (ordinary annuity)?
  3. What happens to the present value if the interest rate increases to 7% while all other factors remain constant?
  4. How would you adjust the calculation for monthly payments instead of annual payments?
  5. How does compounding frequency (e.g., monthly or semi-annually) affect the present value?

Tip: When solving annuity problems, always note whether it’s an annuity due or an ordinary annuity, as this changes the formula slightly.

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Math Problem Analysis

Mathematical Concepts

Present Value
Annuity Due
Time Value of Money

Formulas

Present Value of Annuity Due = Payment × [(1 - (1 + r)^-n) / r] × (1 + r)

Theorems

Time Value of Money

Suitable Grade Level

College/University Level